22.3.1 - Examples of Characteristic of a Field
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Practice Questions
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What is the additive identity of a field?
💡 Hint: Think about what number does not affect others when added.
What is the multiplicative identity of a field?
💡 Hint: Think about what number does not affect others when multiplied.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the characteristic of the field ₄?
💡 Hint: Look for the prime base.
True or false: The characteristic of any finite field can be a composite number.
💡 Hint: Think about the definition of characteristic.
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Challenge Problems
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Construct a finite field with 10 elements and find its characteristic.
💡 Hint: Consider the base component of your field.
Explain why a field cannot have a characteristic of 6.
💡 Hint: Trace back to the prime characteristics.
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